L = Q[x]/(x^2-33)
[L:Q] = 2, discriminant = 33.
Minimal polynomial:  x^2-33
Ramified primes:  3, 11
Inert primes: 5, 7, 13, 19, 23
Split primes: 2, 17, 29, 31, 37
 
 

k	factor(k)	zL(1-k)	denominator of zL(1-k)
2	2	1	1
4	22	141/10	[2, 1; 5, 1]
6	2*3	74231/21	[3, 1; 7, 1]
8	23	84995021/20	[2, 2; 5, 1]
10	2*5	168313830831/11	[11, 1]
12	22*3	352647202814176591/2730	[2, 1; 3, 1; 5, 1; 7, 1; 13, 1]
14	2*7	2195713162447871431	1
16	24	46003584335372550090866877/680	[2, 3; 5, 1; 17, 1]
18	2*32	4186134456578519540954338663877/1197	[3, 2; 7, 1; 19, 1]
20	22*5	157195404294629240579806320132627871/550	[2, 1; 5, 2; 11, 1]
22	2*11	810235667276450560661104858483703801973/23	[23, 1]
24	23*3	34410061486343846835304341132900205543844899231/5460	[2, 2; 3, 1; 5, 1; 7, 1; 13, 1]
26	2*13	1585271581234277858085177035004723218759816049061	1
28	22*7	5458663149172524227621559855410344257948095544186286203/10	[2, 1; 5, 1]
30	2*3*5	1800861987827503536068944731868661152166622715228596656141065031/7161	[3, 1; 7, 1; 11, 1; 31, 1]
32	25	206690239576900618793811606277709087256072191888957128715911192664317/1360	[2, 4; 5, 1; 17, 1]
34	2*17	118417885747975332507614037219192571018901177632722691326682556680538481	1
36	22*32	18232958128859558110496836530968864978289169318681687569421369706537523391693241149/155610	[2, 1; 3, 2; 5, 1; 7, 1; 13, 1; 19, 1]